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Simplifying 5c2 = 16c + 16 Reorder the terms: 5c2 = 16 + 16c Solving 5c2 = 16 + 16c Solving for variable 'c'. Reorder the terms: -16 + -16c + 5c2 = 16 + 16c + -16 + -16c Reorder the terms: -16 + -16c + 5c2 = 16 + -16 + 16c + -16c Combine like terms: 16 + -16 = 0 -16 + -16c + 5c2 = 0 + 16c + -16c -16 + -16c + 5c2 = 16c + -16c Combine like terms: 16c + -16c = 0 -16 + -16c + 5c2 = 0 Factor a trinomial. (-4 + -5c)(4 + -1c) = 0Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve: Simplifying -4 + -5c = 0 Solving -4 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5c = 0 + 4 -5c = 0 + 4 Combine like terms: 0 + 4 = 4 -5c = 4 Divide each side by '-5'. c = -0.8 Simplifying c = -0.8Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-0.8, 4}
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